AN ANALOGUE OF COWLING–PRICE'S THEOREM AND HARDY'S THEOREM FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR
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Publication:5315832
DOI10.1142/S0219530504000370zbMath1129.42004MaRDI QIDQ5315832
Chirine Chettaoui, Khalifa Trimèche, Youssef Othmani
Publication date: 9 September 2005
Published in: Analysis and Applications (Search for Journal in Brave)
Related Items (13)
Paley-Wiener theorems for the two-sided quaternion Fourier transform ⋮ Real Paley–Wiener theorem for the quaternion Fourier transform ⋮ Paley-Wiener theorems of generalized Fourier transform associated with a Cherednik type operator on the real line ⋮ Spectral theorems associated with the Cherednik operators on \(\mathbb R^d\) ⋮ Characterization for the spectrum of the hypergeometric Fourier transform in terms of the generalized resolvent function ⋮ Spectrum of functions and distributions for the Jacobi-Dunkl transform on \(\mathbb R\) ⋮ Paley-Wiener and Boas theorems for the quaternion Fourier transform ⋮ Spectral theorems associated with the Jacobi-Cherednik operator ⋮ New spectral theorems in Dunkl analysis ⋮ SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform ⋮ Characterization of the support for the hypergeometric Fourier transform of the \(W\)-invariant functions and distributions on \(\mathbb R ^d\) and Roe's theorem ⋮ On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting
Cites Work
- The uncertainty principle: A mathematical survey
- Hardy's uncertainty principle on semisimple groups
- An analogue of Hardy's theorem for the Dunkl transform
- Ranges and inversion formulas for spherical mean operator and its dual
- Uncertainty principles on certain Lie groups
- 𝐿^{𝑝} version of Hardy’s theorem on semisimple Lie groups
- Inversion ofN-Dimensional Spherical Averages
- An inverse method for the processing of synthetic aperture radar data
- Hardy’s theorem for the 𝑛-dimensional Euclidean motion group
- An analogue of Hardy's theorem for the Heisenberg group
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